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Finding the Third Proportional to 6,509,487 and 14,176,200.75

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Solution

The third proportional to 6,509,487 and 14,176,200.75 is: 30,872,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,487 : 14,176,200.75 = 14,176,200.75 : x
  2. Step 2: Convert to fraction form
    6,509,487/14,176,200.75 = 14,176,200.75/x
  3. Step 3: Cross multiply
    6,509,487x = 14,176,200.75 × 14,176,200.75
  4. Step 4: Simplify right side
    6,509,487x = 200,964,667,704,300.56
  5. Step 5: Solve for x
    x = 200,964,667,704,300.56/6,509,487
  6. Step 6: Final answer
    x = 30,872,581.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.